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3 years ago

Find the average value of y equals the square root of the quantity 64 minus x squared, on its domain.

Mathematics

1 answer:

Iteru [2.4K]3 years ago

7 0

Answer:

2π ≈ 6.283

Step-by-step explanation:

The average value of the function is the area under it, divided by the base. This function describes a semicircle of radius 8, so its area is ...

A = 1/2πr² = 1/2π·8² = 32π

The width of the base is the diameter of the semicircle, so is 16. Then the average value is ...

32π/16 = 2π . . . . . average value of y

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Which ordered pair is a solution of the equation?<br> 7x-2y=-57x

stepladder [879]

Answer:

D Neither

Step-by-step explanation:

D neither

Hope it helps you in your learning process.

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3 years ago

What transformation transforms (a, b) to (a, −b) ?

mash [69]

Answer:

Reflection over the x-axis

Step-by-step explanation:

The transformation rule for a reflection over the x-axis is (x, -y)

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2 years ago

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What is the difference? x+5/x+2-x+1/x2+2x

Mrac [35]

Question

x+5/x+2 - x+1/x²+2x

Answer:

= (x² - 4x - 1)/[x (x+2)]

= (x² - 4x - 1)/[x² + 2x]

Step-by-step explanation:

x + 5/x + 2 - x + 1/x² + 2x

We factorise the second denominator to give us :

x + 5/x + 2 - x + 1/x(x + 2)

We find the L.C.M of both denominators which is x(x+2).

[x(x + 5)-(x + 1)] / (x (x + 2))

Expand the bracket

=[x² +5x - x -1] / [x (x + 2)]

=(x² - 4x - 1) / [x (x + 2)]

= (x² - 4x - 1)/ [x (x + 2)]

= (x² - 4x - 1) / [x² + 2x]

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3 years ago

Given each set of points, determine if AB and CD

tester [92]

Answer:

Paralell

Step-by-step explanation:

The line from A to B has a slope of 1

the Line from C to D had a slope of 1

since the slopes are equal the lines are paralell

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2 years ago

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Step-by-step explanation:

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3 years ago